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Simplifying (-10 + x)(4x + 1) = 0 Reorder the terms: (-10 + x)(1 + 4x) = 0 Multiply (-10 + x) * (1 + 4x) (-10(1 + 4x) + x(1 + 4x)) = 0 ((1 * -10 + 4x * -10) + x(1 + 4x)) = 0 ((-10 + -40x) + x(1 + 4x)) = 0 (-10 + -40x + (1 * x + 4x * x)) = 0 (-10 + -40x + (1x + 4x2)) = 0 Combine like terms: -40x + 1x = -39x (-10 + -39x + 4x2) = 0 Solving -10 + -39x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -4x)(10 + -1x) = 0Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-0.25, 10}
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